Formalism of nucleon-nucleon elastic scattering experiments

Bystrický, J.; Lehar, F.; Winternitz, P.

doi:10.1051/jphys:019780039010100

Cited by 355 publications

(239 citation statements)

References 26 publications

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“…The functions a, m, g, h, and c are taken to depend on the energy in the laboratory (lab) frame and the scattering angle θ in the center-of-mass (cm) frame. Any scattering observable can be constructed out of these amplitudes [30,31]. The N N amplitude is diagonal in pair spin S, and pair isospin and isospin projection T M T , and is expanded in partial waves as…”

Section: Discussionmentioning

confidence: 99%

“…On the experimental side, there are currently ∼ 8000 published pp and np scattering data below pion production threshold corresponding to 24 different scattering observables, including differential cross sections, spin asymmetries, and total cross sections [30,31], see Ref. [12] for updated pp and np abundance plots in the (E lab , θ cm ) plane.…”

Section: Introductionmentioning

confidence: 99%

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Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

et al. 2015

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We construct a coordinate-space chiral potential, including ∆-isobar intermediate states in its two-pion-exchange component up to order Q 3 (Q denotes generically the low momentum scale). The contact interactions entering at next-to-leading and next-to-next-to-next-to-leading orders (Q 2 and Q 4 , respectively) are rearranged by Fierz transformations to yield terms at most quadratic in the relative momentum operator of the two nucleons. The low-energy constants multiplying these contact interactions are fitted to the 2013 Granada database, consisting of 2309 pp and 2982 np data (including, respectively, 148 and 218 normalizations) in the laboratory-energy range 0-300 MeV. For the total 5291 pp and np data in this range, we obtain a χ 2 /datum of roughly 1.3 for a set of three models characterized by long-and short-range cutoffs, RL and RS respectively, ranging from (RL, RS) = (1.2, 0.8) fm down to (0.8, 0.6) fm. The long-range (short-range) cutoff regularizes the one-and two-pion exchange (contact) part of the potential.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

et al. 2015

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“…To describe nucleon-nucleon scattering we use the amplitudes defined by the Saclay group [7] given by the equation…”

Section: Resultsmentioning

confidence: 99%

Two pion exchange in proton-proton scattering

Gibbs¹,

Loiseau²

2007

Nuclear Physics A

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“…The spin-filtering method is based on the spin-dependent part σ 1 of the total hadronic cross section [7],…”

Section: Principle Of Measurementmentioning

confidence: 99%

Polarization of a stored beam by spin filtering

Weidemann

2014

EPJ Web of Conferences

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Abstract. In 2011 the PAX Collaboration has performed a successful spin-filtering test using protons at T p = 49.3 MeV at the COSY ring, which confirms that spin filtering is a viable method to polarize a stored beam and that the present interpretation of the mechanism in terms of the proton-proton interaction is correct. The equipment and the procedures to produce stored polarized beams was successfully commissioned and are established. The outcome of the experiment is of utmost importance in view of the possible application of the method to polarize a beam of stored antiprotons.

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Formalism of nucleon-nucleon elastic scattering experiments

Cited by 355 publications

References 26 publications

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

Two pion exchange in proton-proton scattering

Polarization of a stored beam by spin filtering

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